Interchaning Limits and Inner Products • Physics Forums
Oct 23, 2013 · Exchanging limits and anything else, i.e. derivatives, sums, integrals depends on whether or not a sequence of functions is uniformly convergent. Since in Hilbert space, the …
What is the integral of x*sin(ax)? • Physics Forums
Nov 29, 2004 · The integral of x*sin(ax) can be solved using integration by parts, where u=x and dv=sin(ax)dx, leading to the formula ∫x*sin(ax)dx = - (1/a)x*cos(ax) + (1/a)∫cos(ax)dx. The …
Challenging Integrals in Calculus 1-2: Expand Your Problem …
Jun 11, 2007 · The discussion revolves around participants seeking and sharing challenging integrals suitable for Calculus 1-2. Users propose various integrals, including \int {\frac { (1+x^ …
Calculating the perimeter of a region using integrals
Feb 5, 2007 · I was wondering,how do we calculate the perimeter of a region using integral calculus?I know that to calculate the area we have to draw the region and if we...
What are the units of a definite integral and its derivative?
Nov 13, 2012 · Hi, Suppose we have f(x) = x3. Integrating this function using the definite integral with the upper boundary being 3 and the lower boundary being 1 would result in 20. Does 20 …
How Does Fubini's Theorem Relate to the Product of Two Integrals?
Dec 15, 2007 · Product of two integrals... In proving a theorem, my DE textbook uses an unfamiliar approach by stating that the product of two integrals = double integral sign - the …
Are there mathematicians that dislike integral calculus?
Sep 1, 2021 · Integral calculus is often viewed as challenging and error-prone, with many techniques applicable only to specific integrals, leading some mathematicians to prefer using …
What Are the Pitfalls of Multiplying and Dividing in Integration?
Jun 14, 2011 · Usually trig integrals need that, but even a simple integral like \int_ {0}^ {1} dx Can go wrong if we multiply and divide by the same thing. Also most of the time we aren't just …
Is there a program for TI-84 that can solve integrals without …
Jun 21, 2010 · Calculators Is there a program for TI-84 that can solve integrals without showing steps? think4432 Jun 21, 2010 Integral Program Ti-84
How would I know if my integrand is odd? • Physics Forums
Jul 21, 2013 · To determine if an integrand is odd, replace x with -x; if the integrand transforms as f (x) → f (-x) = -f (x), it is odd. The integral of an odd function over a symmetric interval is zero, …